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Finding the Fourth Proportional to 2,888.70, 4,333.02 and 914.31

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Solution

The fourth proportional to 2,888.70, 4,333.02 and 914.31 is: 1,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.70 : 4,333.02 = 914.31 : x
  2. Step 2: Convert to fraction form
    2,888.70/4,333.02 = 914.31/x
  3. Step 3: Cross multiply
    2,888.70x = 4,333.02 × 914.31
  4. Step 4: Simplify right side
    2,888.70x = 3,961,723.52
  5. Step 5: Solve for x
    x = 3,961,723.52/2,888.70
  6. Step 6: Final answer
    x = 1,371.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.